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Finding the Fourth Proportional to 167,744, 231,490.32 and 92,292.64

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Solution

The fourth proportional to 167,744, 231,490.32 and 92,292.64 is: 127,365.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,744 : 231,490.32 = 92,292.64 : x
  2. Step 2: Convert to fraction form
    167,744/231,490.32 = 92,292.64/x
  3. Step 3: Cross multiply
    167,744x = 231,490.32 × 92,292.64
  4. Step 4: Simplify right side
    167,744x = 21,364,852,767.24
  5. Step 5: Solve for x
    x = 21,364,852,767.24/167,744
  6. Step 6: Final answer
    x = 127,365.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.